2 citations · 3 across the 8 of their papers we have counts for
9 papers
Temporal periodic solutions to nonhomogeneous quasilinear hyperbolic equations driven by time-periodic boundary conditions
Xixi Fang, Peng Qu, Huimin Yu
We consider the temporal periodic solutions to general nonhomogeneous quasilinear hyperbolic equations with a kind of weak diagonal dominant structure. Under the temporal periodic…
Non-uniqueness for the compressible Euler-Maxwell equations
Shunkai Mao, Peng Qu
We consider the Cauchy problem for the isentropic compressible Euler-Maxwell equations under general pressure laws in a three-dimensional periodic domain. For any smooth initial el…
Non-uniqueness for the hypo-viscous compressible Navier-Stokes equations
Yachun Li, Peng Qu, Zirong Zeng +1
We study the Cauchy problem for the isentropic hypo-viscous compressible Navier-Stokes equations (CNS) under general pressure laws in all dimensions . For all hypo-viscosi…
Subsonic time-periodic solution to compressible Euler equations with damping in a bounded domain
Peng Qu, Huimin Yu, Xiaomin Zhang
In this paper, we consider the one-dimensional isentropic compressible Euler equations with linear damping in a bounded domain, which can be used to describe the process…
Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: above the Lions exponent
Yachun Li, Peng Qu, Zirong Zeng +1
We study the 3D hyperdissipative Navier-Stokes equations on the torus, where the viscosity exponent can be larger than the Lions exponent . It is well-known that, due to L…
Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations
Tianwen Luo, Peng Qu
Through an adaption of the convex integration scheme in the two dimensional case, the non-uniqueness of weak solutions is presented for the two-dimensional hypoviscou…
Singularity formation and global existence of classical solutions for one dimensional rotating shallow water system
Bin Cheng, Peng Qu, Chunjing Xie
We study classical solutions of one dimensional rotating shallow water system which plays an important role in geophysical fluid dynamics. The main results contain two contrasting…
Global Entropy Solutions to Weakly Nonlinear Gas Dynamics
Peng Qu, Zhouping Xin
Entropy weak solutions with bounded periodic initial data are considered for the system of weakly nonlinear gas dynamics. Through a modified Glimm scheme, an approximate solution s…
Global classical solutions to partially dissipative hyperbolic systems violating the Kawashima condition
Peng Qu, Yanjin Wang
This paper considers the Cauchy problem for the quasilinear hyperbolic system of balance laws in , . The system is partially dissipative in the sense that the…